Timeline for Is this a description of the $\aleph_1$-localizing subcategory generated by a compact generator?
Current License: CC BY-SA 3.0
11 events
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| Jun 29, 2013 at 17:54 | comment | added | Rasmus | Indeed, it is in Lemma 4.4.5. Thank you very much for your help! | |
| Jun 29, 2013 at 17:34 | comment | added | Fernando Muro | That's in Neeman's book, chapter 4. | |
| Jun 29, 2013 at 17:33 | comment | added | Rasmus | Thank you for the reference. I am left wondering why $\mathfrak T^{\aleph_1}=\langle A\rangle_{\aleph_1}$. According to Neeman's book $\mathfrak T^{\aleph_1}$ is $\aleph_1$-localizing. | |
| Jun 29, 2013 at 16:31 | comment | added | Fernando Muro | It is a consequence of (shameless self-promotion) Theorem 8.1 in arxiv.org/abs/1304.3599 for $\alpha=\gamma=\delta=\aleph_0$. | |
| Jun 29, 2013 at 16:25 | comment | added | Rasmus | The case that $\mathfrak T_*(A,A)$ is countable. Sorry... | |
| Jun 29, 2013 at 16:24 | comment | added | Fernando Muro | You're welcome! Sorry, what case is the most important for you? | |
| Jun 29, 2013 at 16:16 | vote | accept | Rasmus | ||
| Jun 29, 2013 at 16:16 | comment | added | Rasmus | Thank you very much for your answer. Luckily, the case that $\mathfrak T_*(A,A)$ is the most important for me. Would it be too bold if I asked you for a reference in the literature? I searched through Neeman's book but could not find it. | |
| Jun 29, 2013 at 15:39 | history | edited | Fernando Muro | CC BY-SA 3.0 |
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| Jun 29, 2013 at 15:08 | history | edited | Fernando Muro | CC BY-SA 3.0 |
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| Jun 29, 2013 at 14:57 | history | answered | Fernando Muro | CC BY-SA 3.0 |